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3 years ago

How do I do this.. I don't understand how to

Mathematics

1 answer:

pychu [463]3 years ago

6 0

The three consecutive integers are n, n+1, and n+2. They add up to -36 so n + n+ 1 + n+ 2 = -36. So 3n + 3 = -36. Subtract 3 from both sides. 3n = -39. Divide both sides by 3 to isolate n. N=-12. The integers are -12, -11, and -10. Good luck

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2. Find the value of x and y rounded to the nearest tenth.

SVETLANKA909090 [29]

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

$\sin{45^\circ} = \frac{17}{x}$

$x = \frac{17}{\sin{45^\circ}}$

x = 24.

y is divided into two segments.

The first is the adjacent to the angle of 30º, while the hypotenuse is 34.

The second is adjacent to the angle of 45º, while the hypotenuse is 24.

Then:

$\cos{30^\circ} = \frac{y_1}{34}$

$y_1 = 34\cos{30^\circ} = 29.4$

$\cos{45^\circ} = \frac{y_2}{24}$

$y_2 = 24\cos{45^\circ} = 17$

Then, the value of y is given by:

$y = y_1 + y_2 = 29.4 + 17 = 46.4$ .

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

4 0

2 years ago

I need help with 12,19, and 21

lorasvet [3.4K]

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3 years ago

You worked from 8:30am - 2:15pm with a 12 hour lunch break. How long did you work?

alexandr402 [8]

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3 years ago

A special liquid is held in a tank described as (x 2 + y 2 ) ≤ z ≤ 1 in a Cartesian coordinate system. Assume that the density o

vivado [14]

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